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This is one of the most elegant problems in modern cryptography and the answer reveals a beautiful piece of engineering that most people use daily without ever thinking about. The server does not need to store the OTP because both the server and your authenticator app are independently performing the exact same mathematical calculation at the exact same moment using a shared secret that was exchanged only once, at the very beginning when you first set up two-factor authentication and scanned that QR code. That QR code contained a secret key that was saved on your device and also stored permanently on the server. From that point forward neither side ever needs to communicate the OTP to each other because both sides already have everything they need to generate it independently.
The algorithm behind this is called TOTP, Time-based One Time Password, and it works by feeding two inputs into a cryptographic hash function: that original shared secret key and the current Unix timestamp divided into 30 or 60 second intervals. Because both your phone and the server know the secret key and both have access to the current time, they both arrive at the identical output from that hash function during the same time window without ever communicating with each other. When you type the six digit code into a login form, the server simply runs the same calculation itself using its stored copy of your secret key and the current time interval, and if your result matches its result, it knows you are in possession of the original secret key without either side ever transmitting it across the network after that initial setup. The OTP is never stored because it never needs to be β it is not a password that exists somewhere waiting to be checked, it is a mathematical proof that you hold the same secret the server holds, generated fresh from time itself every sixty seconds.
@_ClassicBooks_ Pressure difference.
Every time you travel there is change in air pressure and that blockage might be your ears attempting to adjust.
The same applies when you are swimming in the deep.